101100110010100 has 72 divisors (see below), whose sum is σ = 220709149210368. Its totient is φ = 40196391907200.

The previous prime is 101100110010071. The next prime is 101100110010113. The reversal of 101100110010100 is 1010011001101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520659030 + ... + 520853170.

It is an arithmetic number, because the mean of its divisors is an integer number (3065404850144).

Almost surely, 2^{101100110010100} is an apocalyptic number.

101100110010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100110010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110354574605184).

101100110010100 is an abundant number, since it is smaller than the sum of its proper divisors (119609039200268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100110010100 is a wasteful number, since it uses less digits than its factorization.

101100110010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225505 (or 225498 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101100110010100 its reverse (1010011001101), we get a palindrome (102110121011201).

The spelling of 101100110010100 in words is "one hundred one trillion, one hundred billion, one hundred ten million, ten thousand, one hundred".